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arXiv · 1902.04061

On d-Categories and d-Operads

Tomer M. Schlank·Lior Yanovski
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Abstract

We extend the theory of d-categories, by providing an explicit description of the right mapping spaces of the d-homotopy category of an $\infty$-category. Using this description, we deduce an invariant $\infty$-categorical characterization of the d-homotopy category. We then proceed to develop an analogous theory of d-operads, which model $\infty$-operads with (d -1)-truncated multi-mapping spaces, and prove analogous results for them.

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BibTeXRIS

Tomer M. Schlank, Lior Yanovski. 2019-02-09. On d-Categories and d-Operads. https://arxiv.org/abs/1902.04061

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